Answer:
As the lines are neither parallel nor perpendicular.
Therefore, the correct answer is ''neither''.
Hence, option C is correct.
Step-by-step explanation:
Given
m₁ = 3/2
m₂ = -3/2
We know that when two lines are parallel, they have equal slopes
But
m₁ ≠ m₂
3/2 ≠ -3/2
As the m₁ and m₂ are not equal.
Hence, the lines are not parallel.
We know that when two lines are perpendicular, the product of their slopes is -1.
Let us check the product of two slopes m₁ and m₂
m₁ × m₂ = 3/2 × -3/2
= -9/4
= -2.25
As
m₁ × m₂ ≠ -1
Thus, the lines are not perpendicular.
Conclusion:
As the lines are neither parallel nor perpendicular.
Therefore, the correct answer is ''neither''.
Hence, option C is correct.
and simplifying:
, which is always true.